E.V. Nikolaev

JSC «Taganrog Scientific Research Institute of Communications» (Taganrog, Russian) nikolayevev@mail.ru

A change in the relative orientation of the topological elements of the double cut ring resonator makes it possible to shift its resonant frequency. On the basis of the theory of irregularly connected transmission line segments, an approach to calculating the resonant frequencies of a resonator is considered when changing the relative orientation of its topological elements.

The article is devoted to the original method of calculating the structure of a double cut split ring resonator and analyzing the obtained characteristics. Microwave devices have been using new high-tech components, which significantly improve the output parameters of devices in comparison with existing analogues. One of such elements is a double split ring resonator. Such a resonator can be the basic element for constructing frequency-selective devices. The double split ring resonator consist of two transmitter lines with restricted opposite ending. Transmission lines form two open rings. The currents in the rings are not equal. On the basis of the theory of irregularly connected transmission line segments, an approach to calculating the resonant frequencies of a resonator is considered when changing the relative orientation of its topological elements. A change in the relative orientation of the topological elements of the double cut ring resonator makes it possible to shift its resonant frequency. Calculations were carried out under the condition of maintaining the position of the transmission line. Therefore, when changing the relative orientation of the topological elements of the double cut ring resonator such as inner ring or outer ring we can get different results, because the spread of electromagnetic power differs. The need to shift the resonant frequency can be due to the following main factors:

1. Reaching the limit of the possible class of the printed circuit board; 2. Striving for unification of topological elements on a printed circuit board.

In the publication, each ring in the resonator topology is proposed to be divided into two parts to form a four-port network. Two halves of the ring resonator are connected in cascade. Transforming the four-port network is expressed by the conductivity matrix. The transfer matrix is expressed from the conductivity matrix. Such a topology change is proposed for use at the design stage of a microwave device to shift the resonant frequency. We calculated the dependence of the resonance frequency under the condition of the relative orientation of the outer ring of resonator relative to the inner one with a step of 30 degrees or the inner ring of resonator relative to the outer one with a step of 30 degrees.

Nikolaev E.V. Calculation of resonant frequencies of a microwave double ring resonator subject to a change in the relative orientation of its topological elements. Radioengineering. 2020. V. 84. № 11(22). P. 59−63. DOI: 10.18127/j00338486-202011(22)-11. (in Russian)

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